By Renate Schaaf

The booklet offers with parameter based difficulties of the shape u" + * f (u) = zero on an period with homogeneous Dirichlet or Neuman boundary stipulations. those difficulties have a relations of answer curves within the (u, *)-space. via reading the so-called time maps of the matter the form of those curves is got which in flip ends up in information regarding the variety of recommendations, the measurement in their risky manifolds (regarded as desk bound recommendations of the corresponding parabolic prob- lem) in addition to attainable orbit connections among them. The equipment used additionally yield effects for the interval map of yes Hamiltonian structures within the airplane. The ebook might be of curiosity to researchers operating in traditional differential equations, partial differential equations and diverse fields of functions. by means of advantage of the undemanding nature of the analytical instruments used it could even be used as a textual content for undergraduate and graduate scholars with an outstanding history within the concept of standard differential equations.

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